The Natural Number 1

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Properties of the Number 1

• Because 1 is not divisible by 2 ...
• 1 is an odd number
• 1 has parity 1
• 1 is not an even number

• 1 is neither a prime number nor a composite number

Alternative Representations of the Number 1

• Base 2 (binary): 1
• Base 8 (octal): 1
• Base 16 (hexadecimal): 1

• Roman numeral: I

• Words: one

Divisors of the Number 1

• 1 has 1 positive divisor: 1
• The sum of the positive divisors is 1
• 1 has no proper divisors
• The sum of the proper divisors is 0

• 1 is a deficient number since the sum of the proper divisors is less than 1
• 1 is not a perfect number
• 1 is not an abundant number

More Properties of the Number 1

• 1 is a square number (i.e., square of the natural number 1)
• 1 is a cube number (i.e., cube of the natural number 1)

• 1 is a palindromic number (i.e., the digits are the same forwards and backwards)

• 1 is a Fibonacci number
• 1 is a Lucas number